graph translations

Question 1

y=f(x+a)

Answer 1

Translation -a units in x direction

Question 2

y=f(x) + a

Answer 2

Translation a units in y direction

Question 3

y=f(ax)

Answer 3

stretch of factor 1/a in x direction

Question 4

y=af(x)

Answer 4

stretch of factor a in y direction

Question 5

y=-f(x)

Answer 5

reflection in x-axis

Question 6

y=f(-x)

Answer 6

reflection in y axis